Would we distort the space around it if we just rotate without translating first?
doberdog91
Rotation is always (usually) around the origin, so if we rotate first, the entire square will appear to be translated too (to about the x-axis). We can visualize the entire R2 space as a white piece of paper with a blue square printed on it, so spinning (rotating) the white paper moves the blue square, orbiting the origin.
Then we would need to translate it back to its original location.
@idk Pretty sure no "distortions" happen, due to how both rotation and translation preserve distances between all points.
bean
it would result in square rotated about the origin. the translate offsets the square to the origin, so the rotation can occur relative to the point
Would we distort the space around it if we just rotate without translating first?
Rotation is always (usually) around the origin, so if we rotate first, the entire square will appear to be translated too (to about the x-axis). We can visualize the entire R2 space as a white piece of paper with a blue square printed on it, so spinning (rotating) the white paper moves the blue square, orbiting the origin.
Then we would need to translate it back to its original location.
@idk Pretty sure no "distortions" happen, due to how both rotation and translation preserve distances between all points.
it would result in square rotated about the origin. the translate offsets the square to the origin, so the rotation can occur relative to the point